Forced oscillation of delay difference equations via nonprincipal solution

In this paper, we obtain a new oscillation result for delay difference equations of the form Δ(rnΔxn)+anxτn=bn;n∈N under the assumption that corresponding homogenous equation Δ(rnΔzn)+anzn+1=0;n∈N is nonoscillatory, where τn≤n+1. It is observed that the oscillation behaviormay be altered due to presence of the delay. Extensions to forced Emden‐Fowler–type delay difference equations Δ(rnΔxn)+an|xτn|α−1xτn=bn;n∈N in the sublinear (0